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Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Feb 3, 2017 at 13:56 history edited T. Amdeberhan CC BY-SA 3.0
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Jan 31, 2017 at 13:39 vote accept T. Amdeberhan
Jan 31, 2017 at 8:02 answer added Bruno Salvy timeline score: 3
Jan 29, 2017 at 20:01 history edited T. Amdeberhan CC BY-SA 3.0
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Jan 29, 2017 at 18:47 answer added user64494 timeline score: 3
Jan 29, 2017 at 16:33 comment added user64494 You are right. Then see dropbox.com/s/abh5ejhje0lj4yt/sum2.pdf?dl=0 .
Jan 29, 2017 at 16:23 history edited T. Amdeberhan CC BY-SA 3.0
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Jan 29, 2017 at 15:45 comment added T. Amdeberhan You are missing $k=0$ in the sum for $h_N(x)$. The term is $g_N(x)^2$.
Jan 29, 2017 at 15:22 comment added user64494 Here dropbox.com/s/0cpub4nd8xp5yxm/small%20sums.pdf?dl=0 it is. However, the result is discouraged.
Jan 29, 2017 at 15:03 comment added user64494 A huge closed-form expression for $h_N(x)$ (obtained with Maple) can be seen here dropbox.com/s/kv0r1zemuu284kt/sum.pdf?dl=0 . It is not nice. I didn't succeed to obtain its asymptotics as $N\to\infty$.
Jan 29, 2017 at 11:48 comment added T. Amdeberhan Good point. Edited.
Jan 29, 2017 at 11:47 history edited T. Amdeberhan CC BY-SA 3.0
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Jan 29, 2017 at 4:45 comment added Robert Israel Do you want to start that last sum at $k=1$? $g_0$ doesn't exist.
Jan 29, 2017 at 3:27 history edited T. Amdeberhan CC BY-SA 3.0
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Jan 28, 2017 at 23:19 history edited T. Amdeberhan CC BY-SA 3.0
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Jan 28, 2017 at 17:59 history edited T. Amdeberhan CC BY-SA 3.0
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Jan 28, 2017 at 17:47 history edited T. Amdeberhan CC BY-SA 3.0
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Jan 28, 2017 at 17:42 history edited T. Amdeberhan CC BY-SA 3.0
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Jan 28, 2017 at 17:35 history asked T. Amdeberhan CC BY-SA 3.0